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Physics · MOTION IN A STRAIGHT LINE
हिन्दीMatch List-I with List-II: List-I List-II A Instantaneous Acceleration I \( \frac{x_2 - x_1}{t_2 - t_1} \) B Displacement II \( \lim_{\Delta t \to 0} \frac{\Delta v}{\Delta t} \) C Instantaneous Speed III \( \left| \frac{dx}{dt} \right| \) D Average Velocity IV \( x_2 - x_1 \) Choose the correct answer from the options given below:
Match List-I with List-II:
| List-I | List-II | ||
|---|---|---|---|
| A | Instantaneous Acceleration | I | \( \frac{x_2 - x_1}{t_2 - t_1} \) |
| B | Displacement | II | \( \lim_{\Delta t \to 0} \frac{\Delta v}{\Delta t} \) |
| C | Instantaneous Speed | III | \( \left| \frac{dx}{dt} \right| \) |
| D | Average Velocity | IV | \( x_2 - x_1 \) |
Choose the correct answer from the options given below:
Correct answer · Option 2
A-(II), B-(IV), C-(III), D-(I)
Explanation
Instantaneous acceleration is defined as \( a = \lim_{\Delta t \to 0} \frac{\Delta v}{\Delta t} \). Displacement is total change in position \( x_2 - x_1 \). Instantaneous speed is the magnitude of velocity \( |dx/dt| \). Average velocity is total displacement over total time \( \frac{x_2 - x_1}{t_2 - t_1} \).
